%0 Journal Article %A Khusainov, Denis Ya. %A Diblik, Jozef %A Bashtinec, Jaromir %A Shatyrko, Andrey V. %D 2018 %I Begell House %K weakly nonlinear system, neural network dynamics, system of differential equations with a time-delay argument, Lyapunov direct method %N 1 %P 20-38 %R 10.1615/JAutomatInfScien.v50.i1.20 %T Investigating Dynamics of One Weakly Nonlinear System with Delay Argument %U https://www.dl.begellhouse.com/journals/2b6239406278e43e,040e60be2b539dd3,680ee41770b2c8f8.html %V 50 %X A mathematical model of neural network dynamics represented by a system of differential equations with time-delay argument and an asymptotically stable linear part is considered. Using Lyapunov direct method sufficient conditions for asymptotic stability are obtained and exponential estimates of solutions decay are constructed. The results are formulated in the form of matrix algebraic inequalities (using LMI). %8 2018-04-25